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1. Various temperature measurements are recorded at different times for a particular city. The mean of...

1. Various temperature measurements are recorded at different times for a particular city. The mean of 20ºC is obtained for 40 temperatures on 40 different days. Assuming that σ=1.5ºC, test the claim that the population mean is 22ºC. Use a 0.05 significance level. Identify the null hypothesis, alternative hypothesis, test statistics, P-value and final the conclusion about the original claim.

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Answer #1

Here we have n = 40, = 20, σ=1.5

Claim :  The population mean is 22ºC.

The hypothesis are,

H0 : = 22 v/s H1: 22

The test statistic is,

= -8.43

p ( z < -8.43 ) = 0.0000 ----- ( USe excel formula " = norm.s.dist(-8.43,1) " )

Here p value < ( 0.05 )

Hence we reject null hypothesis.

Conclusion : The population mean is different than 22o C.

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